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- W645087989 abstract "Contents: Foreword by Wolfgang Eichhorn.- Preface.- Acknowledgement.- Introduction.- About Irving Fisher.- 1. Price indices: Some price indices illustrated with a two-commodities example.- The discrepancy between the indices of Laspeyres and Paasche.- The index of Divisia and some special cases.- Some other price indices.- 2. Traditional treating of properties of price indices: The price index problem: price indices as continuations of price relatives.- Properties of price relatives.- Three kinds of properties: axioms, theorems and tests.- Fisher's properties.- Axiom systems for price indices.- Some other porperties.- Characterizations of some indices.- 3. Modern treating of properties of indices: their automatic generation: The making of reversal tests of indices.- The making of antitheses of properties of indices.- Automated reasoning and one of its assistants: OTTER.- OTTER applied to properties of price indices.- 4. A new axiom system for price indices: Are there exact 'societal' sciences?- The new axiom system for price indices.- An antitheses invariant axiom system.- Consistency and independance.- The axiom system aPu for indices depending on 4 or 3 variables.- 5. First generalisations: Other interpretations of the 'prices' and 'quantities': Statistical masses and functions defined on them.- Quotas.- Densities.- Indices.- Cases where the set function m is also a content.- The Drobisch-Simpson's paradox and indices.- 6. Second generalisation: Functions other than the scalar product: Additive causal analysis.- Multiplicative causal analysis.- An example from health insurance.- 7. Third generalisation: Other statistical measures and their properties: Generalities.- The measurement of concentration and inequality.- Further measures of descriptive statistics.- Five properties.- Bibliography.- Annexes." @default.
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- W645087989 date "1997-04-14" @default.
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- W645087989 title "The Making of Tests for Index Numbers: Mathematical Methods of Descriptive Statistics" @default.
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